Single 3-Brane Brane-World in Six Dimension

TL;DR

This paper investigates a six-dimensional single 3-brane world with non-compact extra dimensions, demonstrating the existence of normalizable zero modes and KK spectrum despite divergence issues, and showing it violates the brane world sum rule.

Contribution

It provides an analytical zero mode solution and numerical KK spectrum analysis for a non-compact six-dimensional brane-world model, challenging existing sum rule assumptions.

Findings

Normalizable zero mode exists despite divergence

KK spectrum is explicitly computed

Solution violates brane world sum rule

Abstract

The single 3-brane brane world at six dimension is examined when the extra dimensions are not compact. Although the warp factor diverges at the asymptotic region of the extra dimension, the normalizable zero mode and higher KK spectrum exist in the gravitational fluctuation. We compute the zero mode analytically and KK spectrum numerically. It is explicitly proven that our solution does not obey `brane world sum rule'.